Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
524 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 524 conjugacy classes of subgroups — too many to draw. Only its 141 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#14579167 | C2 | semidirect |
| 2. #19099130 | C2 | semidirect |
| 3. #19098813 | C2 | semidirect |
| 4. #19098796 | C2 | semidirect |
| 5. #19098601 | C2 | semidirect |
| 6. #19098568 | C2 | semidirect |
| 7. C22×D8×C79 | C2 | semidirect |
| 11. C2×#11929607 | C22 | semidirect |
| 12. C2×C8×D79 | C22 | semidirect |
| 15. #14579132 | C22 | semidirect |
| 18. #14579095 | C22 | semidirect |
| 19. #14579093 | C22 | semidirect |
| 20. #14579082 | C22 | semidirect |
| 49. C2×C8×C79 | D4 | semidirect |
| 94. C79 | #3058 | semidirect |
| 95. C22×D8 | D79 | semidirect |
| 139. C2×C8 | C22⋊D79 | semidirect |